Materials Flashcards

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1
Q

Density

A

Mass per unit of volume of a material

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2
Q

Volume of a regular solid: Cuboid, Sphere and Cylinder

A

Cuboid - length x width x height
Sphere - 4/3 x pi x r^3
Cylinder - pi x r^2 x h

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3
Q

Volume of irregular solid

A

Fill up a eureka can up with water and place the regular solid in it
Measure the volume of displaced water in a measuring cylinder
Volume of water displaced = volume of solid

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4
Q

Hooke’s Law

A

Extension of a spring is directly proportional to the force applied, up to the limit of proportionality

Force applied (N) = spring constant (Nm) x extension (m)

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5
Q

Spring Constant (k)

A

Force applied per unit extension

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6
Q

Higher spring constant means?

A

The stiffer the material

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7
Q

Effective spring constant of springs in parallel?

A

Ke = K1 + K2 + …

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8
Q

Effective spring constant of springs in series?

A

1/KE = 1/k1 + 1/K2 + …

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9
Q

Limit of proportionality

A

The force is proportional to the extension

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10
Q

Elastic deformation

A

Material returns to its original length when the force is removed

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11
Q

Plastic behaviour

A

Permanent deformation

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12
Q

Hysteresis

A

Loss of energy as heat
Equal to the are between loading and unloading curves

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13
Q

Thermal energy lost as heat equals?

A

Area underneath the loading graph, minus area underneath the unloading graph

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14
Q

Elastic strain energy is …

A

Energy stored in a spring when stretched

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15
Q

Elastic strain energy (J) =

A

1/2 x F(N) x Extension (m)

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16
Q

Elastic strain energy is also equal to?

A

Work done to a stretched wire

17
Q

Area underneath Force(N) and extension (m) graph is equal to?

A

Elastic potential energy

18
Q

Stress

A

Force per unit cross-sectional area
Tensile stress (Pa) = Force (N)/ Area (m^2)

19
Q

Strain

A

Extension of a material per unit original length
Tensile strain = Extension (m)/ original length(m)
No units –> Ratio of two lengths

20
Q

Young’s Modulus

A

Young’s Modulus E (Pa) = Tensile stress/ Tensile strain

21
Q

Equation for Young’s Modulus

A

E = Force x length/ Area x change in length

22
Q

Brittle

A

Material snaps with no noticeable yield

Breaks soon after reaching its elastic limit

23
Q

Ductile

A

Material exhibits plastic behaviour

Breaks long after elastic limit on strain axis

24
Q

Strong

A

Little strain for high stress

Steep gradient on stress-strain graph (High YM)

25
Q

Weak

A

Large strain for little stress

Shallower gradient on stress-strain graph (Low YM)

26
Q

Hard

A

High ultimate tensile stress

Breaks under high stress

27
Q

Tough

A

Large amount of energy a material can absorb before it breaks

Large area under the stress-strain graph before material breaks